Saturated water vapor at 100 kPa jets into a pitcher containing 0.17 Kg of water

Question

initially at 278 K. If steam
ow rate is 4 gm/min, estimate how long it takes to heat
the water to 322 K. Assume the process is at constant pressure (at 100 kPa) and kinetic
energy of the incoming steam is negligible. Further assume that there is no evaporation
to the surrounding. If needed make other necessary assumptions and clearly identify
them.

My attempt- I know i need to look up values in a table for the internal energy of steam etc, I think i need to use dU=dQ-dW and possibly another equation.